48308832000 has 2304 divisors, whose sum is σ = 231418736640. Its totient is φ = 9732096000.

The previous prime is 48308831993. The next prime is 48308832029. The reversal of 48308832000 is 23880384.

It is a happy number.

48308832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2100383989 + ... + 2100384011.

It is an arithmetic number, because the mean of its divisors is an integer number (100442160).

Almost surely, 2^48308832000 is an apocalyptic number.

48308832000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48308832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115709368320).

48308832000 is an abundant number, since it is smaller than the sum of its proper divisors (183109904640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48308832000 is a wasteful number, since it uses less digits than its factorization.

48308832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 48308832000 in words is "forty-eight billion, three hundred eight million, eight hundred thirty-two thousand".